Skip to main content
SpringerLink
Log in

Three-dimensional accelerating AdS black holes in F(R) gravity

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

Considering a three-dimensional \(C-\)metric, we obtain the exact accelerating black holes in the F(R) theory of gravity coupled with and without a matter field. First, we extract uncharged accelerating AdS black hole solutions in F(R) gravity. Then, we study the effects of various parameters on metric function, roots, and the temperature of these black holes. The temperature is always positive for the radii less than \(\frac{1}{ \alpha }\), and it is negative for the radii more than \(\frac{1}{\alpha }\). We extend our study by coupling nonlinear electrodynamics as a matter filed to F(R) gravity to obtain charged black holes in this theory. Next, we evaluate the effects of different parameters such as the electrical charge, accelerating parameter, angular, F(R) gravity, and scalar curvature on the obtained solutions, roots, and temperature of three-dimensional charged accelerating AdS black holes. The results indicate that there is a root in which it depends on various parameters. The temperature of these black holes is positive after this root.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

Data Availability Statement

No data associated in the manuscript

References

  1. W. Kinnersley, M. Walker, Phys. Rev. D 2, 1359 (1970)

    Article  ADS  MathSciNet  Google Scholar 

  2. J.F. Plebanski, M. Demianski, Annals Phys. 98, 98 (1976)

    Article  ADS  Google Scholar 

  3. J.B. Griffiths, J. Podolsky, Int. J. Mod. Phys. D 15, 335 (2006)

    Article  ADS  Google Scholar 

  4. M. Appels, R. Gregory, D. Kubiznak, Phys. Rev. Lett. 117, 131303 (2016)

    Article  ADS  Google Scholar 

  5. M. Astorino, Phys. Rev. D 95, 064007 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  6. A. Anabalon, M. Appels, R. Gregory, D. Kubiznak, R.B. Mann, A. Övgün, Phys. Rev. D 98, 104038 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  7. R. Gregory, A. Scoins, Phys. Lett. B 796, 191 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  8. J. Zhang, Y. Li, H. Yu, JHEP 02, 144 (2019)

    Article  ADS  Google Scholar 

  9. W. Ahmed, H.Z. Chen, E. Gesteau, R. Gregory, A. Scoins, Class. Quantum Grav. 36, 214001 (2019)

    Article  ADS  Google Scholar 

  10. K. Destounis, R.D.B. Fontana, F.C. Mena, Phys. Rev. D 102, 044005 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  11. A. Ball, Class. Quantum Grav. 38, 195024 (2021)

    Article  ADS  Google Scholar 

  12. S. Jiang, J. Jiang, Phys. Lett. B 823, 136731 (2021)

    Article  Google Scholar 

  13. M. Zhang, J. Jiang, Phys. Rev. D 103, 025005 (2021)

    Article  ADS  Google Scholar 

  14. T.C. Frost, V. Perlick, Class. Quantum Grav. 38, 085016 (2021)

    Article  ADS  Google Scholar 

  15. B. Eslam Panah, Kh. Jafarzade, Gen. Relativ. Gravit. 54, 19 (2022)

    Article  ADS  Google Scholar 

  16. J.A.R. Cembranos, L.J. Garay, S.A. Ortega, Eur. Phys. J. C 82, 786 (2022)

    Article  ADS  Google Scholar 

  17. A. Ashoorioon, M.B. Jahani Poshteh, R.B. Mann, Phys. Rev. Lett. 129, 031102 (2022)

    Article  ADS  Google Scholar 

  18. M. Born, L. Infeld, Proc. Roy. Soc. Lond. A 144, 425 (1934)

    Article  ADS  Google Scholar 

  19. H.H. Soleng, Phys. Rev. D 52, 6178 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  20. M. Hassaine, C. Martinez, Phys. Rev. D 75, 027502 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  21. S.H. Hendi, JHEP 03, 065 (2012)

    Article  ADS  Google Scholar 

  22. S.I. Kruglov, Annals Phys. 353, 299 (2015)

    Article  ADS  Google Scholar 

  23. S.I. Kruglov, Int. J. Mod. Phys. D 26, 175007 (2017)

    Article  Google Scholar 

  24. H. Maeda, M. Hassaine, C. Martinez, Phys. Rev. D 79, 044012 (2009)

    Article  ADS  Google Scholar 

  25. B. Eslam Panah, Europhys. Lett. 134, 20005 (2021)

    Article  ADS  Google Scholar 

  26. S.H. Mazharimousavi, Mod. Phys. Lett. A 37, 2250170 (2022)

    Article  ADS  Google Scholar 

  27. G.W. Gibbons, C.A.R. Herdeiro, Phys. Rev. D 63, 064006 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  28. E.S. Fradkin, A.A. Tseytlin, Phys. Lett. B 163, 123 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  29. D.P. Sorokin, Fortschr. Phys. 70, 2200092 (2022)

    Article  Google Scholar 

  30. E. Ayon-Beato, A. Garcia, Phys. Rev. Lett. 80, 5056 (1998)

    Article  ADS  Google Scholar 

  31. E. Ayon-Beato, A. Garcia, Gen. Relativ. Gravit. 37, 635 (2005)

    Article  ADS  Google Scholar 

  32. I. Dymnikova, Class. Quant. Grav. 21, 4417 (2004)

    Article  ADS  Google Scholar 

  33. S.A. Hayward, Phys. Rev. Lett. 96, 031103 (2006)

    Article  ADS  Google Scholar 

  34. C. Corda, H.J. Mosquera Cuesta, Mod. Phys. Lett. A 25, 2423 (2010)

    Article  ADS  Google Scholar 

  35. L. Balart, E.C. Vagenas, Phys. Lett. B 730, 14 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  36. R. Garcia-Salcedo, N. Breton, Int. J. Mod. Phys. A 15, 4341 (2000)

    ADS  Google Scholar 

  37. V.A. De Lorenci, R. Klippert, M. Novello, J.M. Salim, Phys. Rev. D 65, 063501 (2002)

    Article  ADS  Google Scholar 

  38. M. Sami, N. Dadhich, T. Shiromizu, Phys. Lett. B 568, 118 (2003)

    Article  ADS  Google Scholar 

  39. E. Elizalde, J.E. Lidsey, S. Nojiri, S.D. Odintsov, Phys. Lett. B 574, 1 (2003)

    Article  ADS  Google Scholar 

  40. M. Novello, S. E. Perez Berglia a, and J. Salim, Phys. Rev. D 69, 127301 (2004)

  41. A. Karch, A. O’Bannon, JHEP 09, 024 (2007)

    Article  ADS  Google Scholar 

  42. R.-G. Cai, Y.-W. Sun, JHEP 09, 115 (2008)

    Article  ADS  Google Scholar 

  43. J. Jing, Q. Pan, S. Chen, JHEP 11, 045 (2011)

    Article  ADS  Google Scholar 

  44. M. Baggioli, O. Pujolas, JHEP 12, 107 (2016)

    Article  ADS  Google Scholar 

  45. E. Blauvelt, S. Cremonini, A. Hoover, L. Li, S. Waskie, Phys. Rev. D 97, 061901 (2018)

    Article  ADS  Google Scholar 

  46. H.A. Gonzalez, M. Hassaine, C. Martinez, Phys. Rev. D 80, 104008 (2009)

    Article  ADS  Google Scholar 

  47. S. Gunasekaran, R.B. Mann, D. Kubiznak, JHEP 11, 110 (2012)

    Article  ADS  Google Scholar 

  48. J. Diaz-Alonso, D. Rubiera-Garcia, Gen. Relativ. Gravit. 45, 1901 (2013)

    Article  ADS  Google Scholar 

  49. S.H. Hendi, S. Panahiyan, R. Mamasani, Gen. Relativ. Gravit. 47, 91 (2015)

    Article  ADS  Google Scholar 

  50. B. Eslam Panah, S.H. Hendi, S. Panahiyan, M. Hassaine, Phys. Rev. D 98, 084006 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  51. S.I. Kruglov, Eur. Phys. J. C 82, 292 (2022)

    Article  ADS  Google Scholar 

  52. G. Arenas-Henriquez, F. Diazb, Y. Novoa, JHEP 05, 072 (2023)

    Article  ADS  Google Scholar 

  53. S. Capozziello, V.F. Cardone, S. Carloni, A. Troisi, Int. J. Mod. Phys. D 12, 1969 (2003)

    Article  ADS  Google Scholar 

  54. S.M. Carroll, V. Duvvuri, M. Trodden, M.S. Turner, Phys. Rev. D 70, 043528 (2004)

    Article  ADS  Google Scholar 

  55. T.P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010)

    Article  ADS  Google Scholar 

  56. S. Nojiri, S.D. Odintsov, Phys. Rept. 505, 59 (2011)

    Article  ADS  Google Scholar 

  57. A.A. Starobinsky, Phys. Lett. B 91, 99 (1980)

    Article  ADS  Google Scholar 

  58. S. Nojiri, S.D. Odintsov, V.K. Oikonomou, Phys. Rept. 692, 1 (2017)

    Article  ADS  Google Scholar 

  59. S. Capozziello, A. Troisi, Phys. Rev. D 72, 044022 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  60. S. Capozziello, A. Stabile, A. Troisi, Phys. Rev. D 76, 104019 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  61. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  62. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  63. S.S. Gubser, I.R. Klebanov, A.M. Polyakov, Phys. Lett. B 428, 105 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  64. S.W. Hawking, D.N. Page, Commun. Math. Phys. 87, 577 (1983)

    Article  ADS  Google Scholar 

  65. E. Witten, Adv. Theor. Math. Phys. 2, 505 (1998)

    Article  MathSciNet  Google Scholar 

  66. A. Chamblin, R. Emparan, C.V. Johnson, R.C. Myers, Phys. Rev. D 60, 104026 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  67. M.M. Caldarelli, G. Cognola, D. Klemm, Class. Quant. Grav. 17, 399 (2000)

    Article  ADS  Google Scholar 

  68. D.F. Jardim, M.E. Rodrigues, M.J.S. Houndjo, Eur. Phys. J. Plus 127, 123 (2012)

    Article  Google Scholar 

  69. D.-C. Zou, S.-J. Zhang, B. Wang, Phys. Rev. D 89, 044002 (2014)

    Article  ADS  Google Scholar 

  70. H.-S. Liu, H. Lu, C.N. Pope, JHEP 06, 109 (2014)

    Article  ADS  Google Scholar 

  71. S.H. Hendi, B. Eslam Panah, S. Panahiyan, JHEP 11, 157 (2015). https://doi.org/10.1007/JHEP11(2015)157. Link: https://link.springer.com/article/10.1007/JHEP11(2015)157#citeas

  72. J. Zhang, Y. Li, H. Yu, JHEP 02, 144 (2019)

    Article  ADS  Google Scholar 

  73. W. Cong, D. Kubiznak, R.B. Mann, Phys. Rev. Lett. 127, 091301 (2021)

    Article  ADS  Google Scholar 

  74. W. Cong, D. Kubiznak, R. Mann, M.R. Visser, JHEP 08, 174 (2022)

    Article  ADS  Google Scholar 

  75. P. Paul et al., Nucl. Phys. B 993, 116259 (2023)

    Article  Google Scholar 

  76. P. Bueno, P.A. Cano, J. Moreno, G. van der Velde, Phys. Rev. D 107, 064050 (2023)

    Article  ADS  Google Scholar 

  77. J. Barrientos, A. Cisterna, D. Kubiznak, J. Oliva, Phys. Lett. B 834, 137447 (2022)

    Article  Google Scholar 

  78. T. Hale, D. Kubiznak, O. Svitek, and T. Tahamtan, [arXiv:2303.16928]

  79. A. Achucarro, P.K. Townsend, Phys. Lett. B 180, 89 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  80. E. Witten, Nucl. Phys. B 311, 46 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  81. M. Zhang, R.B. Mann, Phys. Rev. D 100, 084061 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  82. M. Astorino, JHEP 01, 114 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  83. W. Xu, K. Meng, L. Zhao, Class. Quantum Grav. 29, 155005 (2012)

    Article  ADS  Google Scholar 

  84. W. Xu, K. Meng, L. Zhao, Commun. Theor. Phys. 58, 59 (2012)

    Article  ADS  Google Scholar 

  85. G. Arenas-Henriquez, R. Gregory, A. Scoins, JHEP 05, 063 (2022)

    Article  ADS  Google Scholar 

  86. B. Eslam Panah, Fortschr. Phys. 2023, 2300012 (2023)

    Article  Google Scholar 

  87. R. Emparan, J.F. Pedraza, A. Svesko, M. Tomasevic, M.R. Visser, JHEP 11, 073 (2022)

    Article  ADS  Google Scholar 

  88. S.H. Hendi, B. Eslam Panah, R. Saffari, Int. J. Mod. Phys. D 23, 1450088 (2014)

    Article  ADS  Google Scholar 

  89. B. Eslam Panah, Phys. Lett. B 787, 45 (2018)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Acknowledgements

We would like to thank the referee for giving valuable comments to improve this manuscript. B. Eslam Panah thanks University of Mazandaran.

Author information

Authors and Affiliations

  1. Department of Theoretical Physics, Faculty of Science, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran

    B. Eslam Panah

  2. ICRANet-Mazandaran, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran

    B. Eslam Panah

  3. ICRANet, Piazza della Repubblica 10, 65122, Pescara, Italy

    B. Eslam Panah

  4. Department of Physics, School of Science, Shiraz University, Shiraz, 71946-84795, Iran

    M. Khorasani & J. Sedaghat

Authors
  1. B. Eslam Panah
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Khorasani
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. Sedaghat
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. Eslam Panah.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Panah, B.E., Khorasani, M. & Sedaghat, J. Three-dimensional accelerating AdS black holes in F(R) gravity. Eur. Phys. J. Plus 138, 728 (2023). https://doi.org/10.1140/epjp/s13360-023-04339-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/s13360-023-04339-w

Search

Navigation